{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Variational Quantum Linear Solver (VQLS) with Linear Combination of Unitaries (LCU) Block Encoding "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "The Variational Quantum Linear Solver (VQLS) is a quantum algorithm that harnesses the power of Variational Quantum Eigensolvers (VQE) to efficiently solve systems of linear equations:\n",
    "\n",
    "* **Input:** A matrix $\\textbf{A}$ and a known vector $|\\textbf{b}\\rangle$.\n",
    "\n",
    "* **Output:** An approximation of a normalized solution  $|x\\rangle$ proportional to $|\\textbf{x}\\rangle$, satisfying the equation $\\textbf{A} |\\textbf{x}\\rangle = |\\textbf{b}\\rangle$.\n",
    "\n",
    "***\n",
    "\n",
    "\n",
    "While the output of VQLS mirrors that of the HHL Quantum Linear-Solving Algorithm, VQLS distinguishes itself by its ability to operate on Noisy Intermediate-Scale Quantum (NISQ) computers. In contrast, HHL necessitates more robust quantum hardware and a larger qubit count, despite offering a faster computation speedup."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this tutorial we will cover an implementation example of a **Variational Quantum Linear Solver** [[1](#VQLS)] using block encoding , in particular, we will use linear combinations of unitaries, or LCUs for short, for the block encoding\n",
    "\n",
    "As all variational algorithms, the VQLS is a hybrid algorithm in which we apply a classical optimization on the results of a parametrized (ansatz) quantum program"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## How to Build the Algorithm with Classiq"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Quantum Part: Variational Circuit"
   ]
  },
  {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Given a block encoding of the matrix A:\n",
    "$$\\begin{aligned}\n",
    "U = \\begin{bmatrix} A & \\cdot \\\\ \\cdot & \\cdot \\end{bmatrix}\n",
    "\\end{aligned} \\tag{1}$$  \n",
    "we can preapre the state \n",
    "$$|\\Psi\\rangle :=  A |x\\rangle/\\sqrt{\\langle x |A^\\dagger A |x\\rangle}$$\n",
    "\n",
    "\n",
    "We can approximate the solution $|x\\rangle$ with a variational quantum\n",
    "circuit, i.e., a unitary circuit $V$ depending on a finite number of classical real parameters $w = (w_0, w_1, \\dots)$\n",
    "\n",
    "$$|x \\rangle = V(w) |0\\rangle.$$\n",
    "\n",
    "\n",
    "Our objective is to address the task of preparing a quantum state $|x\\rangle$ such that $A |x\\rangle$ is proportional to $|b\\rangle$, or equivalently, ensuring that:\n",
    "\n",
    "$$|\\Psi\\rangle :=  \\frac{A |x\\rangle}{\\sqrt{\\langle x |A^\\dagger A |x\\rangle}} \\approx |b\\rangle.$$\n",
    "\n",
    "The state $|b\\rangle$ arises from a unitary operation $U_b$ applied to the ground state of $n$ qubits: i.e.,\n",
    "\n",
    "$$|b\\rangle = U_b |0\\rangle,$$\n",
    "\n",
    "The parameters should be optimized in order to maximize the overlap\n",
    "between the quantum states $|\\Psi\\rangle$ and $|b\\rangle$. We define the\n",
    "following cost function,\n",
    "\n",
    "$$C = 1- |\\langle b | \\Psi \\rangle|^2$$\n",
    "\n",
    "\n",
    "At high level, the above could be implemented as follows:\n",
    "\n",
    "We construct a quantum model as depicted in the figure below. When measuring the above circuit in the computational basis, the probability of\n",
    "finding the system qubits it in the ground state (given the ancillary qubits measured\n",
    "in their ground state), is\n",
    "    $|\\langle 0 | U_b^\\dagger |\\Psi \\rangle|^2 = |\\langle b | \\Psi \\rangle|^2$\n",
    "\n",
    "![Screenshot 2024-05-21 at 9.31.38.png](attachment:ab6490c2-dbef-4006-ad44-43a3e0d4996c.png)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To block encode a Variational Quantum Linear Solver as explained above we can define a high-level `block_encoding_vqls` function as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from typing import List\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "from classiq import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "@qfunc\n",
    "def block_encoding_vqls(\n",
    "    ansatz: QCallable,\n",
    "    block_encoding: QCallable,\n",
    "    prepare_b_state: QCallable,\n",
    ") -> None:\n",
    "    ansatz()\n",
    "    block_encoding()\n",
    "    invert(lambda: prepare_b_state())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From here, all we need to do is to define our `ansatz`, `block_encoding` and `prepare_b_state` to fit the above specific example and we are ready to build our model, synthesize it, execute it and analyze the results."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Classical Part: Finding Optimal Parameters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To estimate the overlap of the ground state with the post-selected\n",
    "state, one could directly make use of the measurement samples. However,\n",
    "since we want to optimize the cost function, it is useful to express\n",
    "everything in terms of expectation values through Bayes\\' theorem:\n",
    "\n",
    "$$|\\langle b | \\Psi \\rangle|^2=\n",
    "P( \\mathrm{sys}=\\mathrm{ground}\\,|\\, \\mathrm{anc} = \\mathrm{ground}) =\n",
    "P( \\mathrm{all}=\\mathrm{ground})/P( \\mathrm{anc}=\\mathrm{ground})$$\n",
    "\n",
    "To evaluate the conditional probability from\n",
    "the above equation we construct the following utility function to operate on the measurements results:\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "In order to variationally solve our linear problem, we define the\n",
    "cost function $C = 1- |\\langle b | \\Psi \\rangle|^2$ that we are going to\n",
    "minimize. As explained above, we express it in terms of expectation\n",
    "values through Bayes\\' theorem.\n",
    "\n",
    "We define a classical function that gets the quantum program, minimizes the cost function using the COBYLA optimizer, and returns the optimal parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import random\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.optimize import minimize\n",
    "\n",
    "from classiq.execution import ExecutionSession\n",
    "\n",
    "\n",
    "class VqlsOptimizer:\n",
    "    def __init__(self, qprog, ansatz_param_count, ansatz_var_name, aux_var_name):\n",
    "        self.qprog = qprog\n",
    "        self.ansatz_param_count = ansatz_param_count\n",
    "        self.ansatz_var_name = ansatz_var_name\n",
    "        self.aux_var_name = aux_var_name\n",
    "        self.es = ExecutionSession(qprog)\n",
    "        self.intermediate = {}\n",
    "\n",
    "    def get_cond_prop(self, res):\n",
    "        aux_prob_0 = 0\n",
    "        for s in res:\n",
    "            if s.state[self.aux_var_name] == 0:\n",
    "                aux_prob_0 += s.shots\n",
    "                if s.state[self.ansatz_var_name] == 0:\n",
    "                    all_prob_0 = s.shots\n",
    "        return all_prob_0 / aux_prob_0\n",
    "\n",
    "    def my_cost(self, params):\n",
    "        results = self.es.sample(params)\n",
    "        return 1 - self.get_cond_prop(\n",
    "            results.parsed_counts_of_outputs([self.ansatz_var_name, self.aux_var_name])\n",
    "        )\n",
    "\n",
    "    def f(self, x):\n",
    "        cost = self.my_cost(\n",
    "            {\"params_\" + str(k): x[k] for k in range(self.ansatz_param_count)}\n",
    "        )\n",
    "        self.intermediate[tuple(x)] = cost\n",
    "        return cost\n",
    "\n",
    "    def optimize(self):\n",
    "        out = minimize(\n",
    "            self.f,\n",
    "            x0=[\n",
    "                float(random.randint(0, 3000)) / 1000\n",
    "                for i in range(0, self.ansatz_param_count)\n",
    "            ],\n",
    "            method=\"COBYLA\",\n",
    "            options={\"maxiter\": 2000},\n",
    "        )\n",
    "        print(out)\n",
    "        out_f = [out[\"x\"][0 : self.ansatz_param_count]]\n",
    "        print(out_f)\n",
    "        plt.plot(\n",
    "            [l for l in range(len(self.intermediate))], list(self.intermediate.values())\n",
    "        )\n",
    "\n",
    "        return {\n",
    "            \"params_\" + str(k): list(self.intermediate.keys())[-1][k]\n",
    "            for k in range(self.ansatz_param_count)\n",
    "        }"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "***\n",
    "Once the optimal variational weights `w` are found, we\n",
    "can generate the quantum state $|x\\rangle$. By measuring $|x\\rangle$ in\n",
    "the computational basis we can estimate the probability of each basis\n",
    "state.\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example using LCU Block Encoding\n",
    "\n",
    "We treat a specific example based on a system of 3 qubits:\n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\begin{align}\n",
    "A  &=  c_0 A_0 + c_1 A_1 + c_2 A_2 = \\ 0.55 \\mathbb{I} \\ + \\ 0.225 Z_2 \\ + \\ 0.225 Z_3\n",
    "\\\\\n",
    "\\\\\n",
    "|b\\rangle &= U_b |0 \\rangle = H_0  H_1  H_2 |0\\rangle,\n",
    "\\end{align}\n",
    "\\end{aligned}$$\n",
    "\n",
    "where $Z_j, X_j, H_j$ represent the Pauli $Z$, Pauli $X$ and Hadamard\n",
    "gates applied to the qubit with index $j$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Block encoding the matrix A with LCU\n",
    "\n",
    "\n",
    "Our first goal is to encode the Matrix A on a quantum circuit.  \n",
    "\n",
    "Using *linear combinations of unitaries* (LCU) we can encode the operator A inside U as in Eq.([1](#mjx-eqn-1))\n",
    "\n",
    "\n",
    "This block is defined by the subspace of all states where the auxiliary\n",
    "qubits are in state $|0\\rangle$.\n",
    "\n",
    "\n",
    "Given a $2^n \\times 2^n$ matrix $A$, representable as a linear combination of $L$ unitary matrices $A_0, A_1, \\dots, A_{L-1}$ we can implement a quantum circuit that applies the associated operator.\n",
    "\n",
    "$$A = \\sum_{l=0}^{L-1} c_l A_l,$$\n",
    "\n",
    "where $c_l$ are arbitrary complex numbers. Crucially, we assume that each unitary $A_l$ can be efficiently implemented using a quantum circuit acting on $n$ qubits.\n",
    "\n",
    "\n"
   ]
  },
  {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "\n",
    "The concept of applying a linear combination of unitary operations has been explored in Ref[[2](#coherent)]  and we adopt a similar approach here.\n",
    "\n",
    "We can assume, without loss of generality, that the coefficients $c=(c_1, c_2, \\dots c_L)$  in the definition of $A$ form a positive and normalized probability distribution:\n",
    "\n",
    "$$c_l \\ge 0 \\quad \\forall l,  \\qquad \\sum_{l=0}^{L-1} c_l=1.$$\n",
    "\n",
    "\n",
    "The complex phase of each coefficient $c_l$ can be absorbed into its associated unitary $A_l$, resulting in a vector comprised of positive values. Additionally, as the linear problem remains unchanged under constant scaling, we can normalize the coefficients to form a probability distribution.\n",
    "\n",
    "\n",
    "To simplify matters, we assume that $L$ is a power of 2, specifically $L=2^m$ for a positive integer $m$ (we can always pad $c$ with additional zeros if needed).\n",
    "\n",
    "Let us consider a unitary circuit $U_c$, embedding the square root of\n",
    "$c$ into the quantum state $|\\sqrt{c}\\rangle$ of $m$ ancillary qubits:\n",
    "\n",
    "$$|\\sqrt{c} \\rangle =  U_c |0\\rangle = \\sum_{l=0}^{L-1} \\sqrt{c_l} | l \\rangle,$$\n",
    "\n",
    "where $\\{ |l\\rangle \\}$ is the computational basis of the ancillary\n",
    "system.\n",
    "\n",
    "Now, for each component $A_l$ of the problem matrix $A$, we can define\n",
    "an associated controlled unitary operation $CA_l$, acting on the system\n",
    "and on the ancillary basis states as follows:\n",
    "\n",
    "$$\\begin{aligned}\n",
    "CA_l \\, |j\\rangle |l' \\rangle  =\n",
    "\\Bigg\\{\n",
    "\\begin{array}{c}\n",
    "\\left(A_l \\otimes \\mathbb{I}\\right) \\; |j\\rangle |l \\rangle \\quad \\; \\mathrm{for}\\; l'=l \\\\\n",
    "\\qquad \\qquad |j\\rangle |l' \\rangle  \\quad \\mathrm{for}\\; l'\\neq l\n",
    "\\end{array},\n",
    "\\end{aligned}$$\n",
    "\n",
    "i.e., the unitary $A_l$ is applied only when the ancillary is in\n",
    "the corresponding basis state $|l\\rangle$.\n",
    "\n",
    "So our LCU quantum circuit will look as follows:\n",
    "![Screenshot 2024-05-19 at 18.56.22.png](attachment:9b0897af-b689-4b83-b119-f7de76db95fd.png)\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's apply the previous theory on our simple example based on a system of 3 qubits:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we will need to define some unitary operations associated to the simple\n",
    "example presented above.\n",
    "\n",
    "The coefficients of the linear combination are three positive numbers\n",
    "$(0.55, 0.225, 0.225)$. So we can embed them in the state of $m=2$ ancillary\n",
    "qubits by adding a final zero element and normalizing their sum to $1$:\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "paulis = [(\"III\", 0.55), (\"IZI\", 0.225), (\"IIZ\", 0.225), (\"III\", 0)]\n",
    "\n",
    "\n",
    "num_system_qubits = 3\n",
    "num_ancila_qubits = 2\n",
    "ansatz_param_count = 9\n",
    "\n",
    "error_bound = 0.0\n",
    "error_metric = \"LOSS_OF_FIDELITY\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To block encode the A we need only 3 thing:\n",
    "1. Representing it as a linear combination of $L$ unitary matrices (in our case we will use Pauli matrices)]\n",
    "2. A a unitary circuit $U_c$ that embeds the square root of $c$ (linear combination coefficients) into the quantum state\n",
    "3. A circuit that encodes $CA_l$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Preparing $U_c$  \n",
    "To construct $\\vec{c}$ from the above example we will we want to apply our Pauli's strings decomposition. For this we need  additional functions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from typing import cast\n",
    "\n",
    "from classiq import Pauli, PauliTerm\n",
    "\n",
    "my_list = {\"I\": Pauli.I, \"X\": Pauli.X, \"Y\": Pauli.Y, \"Z\": Pauli.Z}\n",
    "\n",
    "\n",
    "def pauli_str_to_enums(pauli):\n",
    "    return [my_list[s] for s in pauli]\n",
    "\n",
    "\n",
    "def pauli_operator_to_hamiltonian(pauli_list):\n",
    "    return [\n",
    "        PauliTerm(\n",
    "            pauli=pauli_str_to_enums(pauli), coefficient=cast(complex, coeff).real\n",
    "        )\n",
    "        for pauli, coeff in pauli_list\n",
    "    ]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can construct $\\vec{c}$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "pauli_terms_structs = pauli_operator_to_hamiltonian(paulis)\n",
    "c = []\n",
    "for pauli_struct in pauli_terms_structs:\n",
    "    c.append(pauli_struct.coefficient)\n",
    "c = c / np.sum(c)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To prepare $U_c$ we need to embed the square root of the probability distribution `c`\n",
    "into the amplitudes of the ancillary state:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "@qfunc\n",
    "def prepare_c(ancillary_qubits: QArray[QBit]):\n",
    "    inplace_prepare_state(list(c), error_bound, ancillary_qubits)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### LCU sequence of all controlled-unitaries $CA_l$\n",
    "\n",
    "Next, we are left to define the LCU sequence of all controlled-unitaries $CA_l$,\n",
    "acting as $A_l$ on the system whenever the ancillary state is\n",
    "$|l\\rangle$. \n",
    "The `prepare_ca` function iterates over a list of Pauli terms $A_l$ and will apply $CA_l$ on the 3 qubit state `phi` controlled by the ancillary state $\\vec{c}$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "@qfunc\n",
    "def apply_pauli(pauli_value: CInt, qbit: QBit):\n",
    "    switch(\n",
    "        pauli_value,\n",
    "        [lambda: IDENTITY(qbit), lambda: X(qbit), lambda: Y(qbit), lambda: Z(qbit)],\n",
    "    )\n",
    "\n",
    "\n",
    "@qfunc\n",
    "def apply_pauli_term(pauli_term: PauliTerm, x: QArray[QBit]):\n",
    "    repeat(\n",
    "        count=x.len,\n",
    "        iteration=lambda index: apply_pauli(pauli_term.pauli[index], x[index]),\n",
    "    )\n",
    "\n",
    "\n",
    "@qfunc\n",
    "def apply_controlled_pauli_term(pauli_term: PauliTerm, x: QArray[QBit]):\n",
    "    repeat(\n",
    "        count=x.len,\n",
    "        iteration=lambda index: apply_pauli(pauli_term.pauli[index], x[index]),\n",
    "    )\n",
    "\n",
    "\n",
    "@qfunc\n",
    "def prepare_ca(\n",
    "    pauli_terms_list: CArray[PauliTerm],\n",
    "    system_qubits: QArray[QBit],\n",
    "    ancillary_qubits: QNum,\n",
    "):\n",
    "    repeat(\n",
    "        count=pauli_terms_list.len,\n",
    "        iteration=lambda i: control(\n",
    "            ancillary_qubits == i,\n",
    "            lambda: apply_pauli_term(pauli_terms_list[i], system_qubits),\n",
    "        ),\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fixed Hardware Ansatz\n",
    "\n",
    "Let's consider our ansatz $V(w)$, such that : \n",
    "\n",
    "$$|x\\rangle = V(w) |0\\rangle $$\n",
    "\n",
    "\n",
    "This allows us to \"search\" the state space by varying some set of parameters, $w$. \n",
    "\n",
    "The ansatz that we will use for this 3 qubits system implementation takes in 9 parameters as defined in `apply_fixed_3_qubit_system_ansatz` function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "@qfunc\n",
    "def apply_ry_on_all(params: CArray[CReal], io: QArray[QBit]):\n",
    "    repeat(count=io.len, iteration=lambda index: RY(params[index], io[index]))\n",
    "\n",
    "\n",
    "@qfunc\n",
    "def apply_fixed_3_qubit_system_ansatz(\n",
    "    angles: CArray[CReal], system_qubits: QArray[QBit]\n",
    "):\n",
    "    apply_ry_on_all([angles[0], angles[1], angles[2]], system_qubits)\n",
    "    repeat(\n",
    "        count=(system_qubits.len - 1),\n",
    "        iteration=lambda index: CZ(system_qubits[0], system_qubits[index + 1]),\n",
    "    )\n",
    "    CZ(system_qubits[1], system_qubits[2])\n",
    "    apply_ry_on_all([angles[3], angles[4], angles[5]], system_qubits)\n",
    "    repeat(\n",
    "        count=(system_qubits.len - 1),\n",
    "        iteration=lambda index: CZ(\n",
    "            system_qubits[system_qubits.len - 1], system_qubits[index]\n",
    "        ),\n",
    "    )\n",
    "    CZ(system_qubits[1], system_qubits[0])\n",
    "    apply_ry_on_all([angles[6], angles[7], angles[8]], system_qubits)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To view our ansatz implementation we will create a model and view the synthesis result: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Opening: http://localhost:4200/circuit/6c2d6339-72ea-49e1-a74b-88652a8bfbd3?version=0.0.0\n"
     ]
    }
   ],
   "source": [
    "@qfunc\n",
    "def main(\n",
    "    params: CArray[CReal, ansatz_param_count], system_qubits: Output[QArray[QBit]]\n",
    "):\n",
    "    allocate(3, system_qubits)\n",
    "    apply_fixed_3_qubit_system_ansatz(params, system_qubits)\n",
    "\n",
    "\n",
    "model = create_model(main)\n",
    "qprog = synthesize(model)\n",
    "show(qprog)"
   ]
  },
  {
   "attachments": {
    "a8ec9628-7bf1-4b52-b5ca-3a23bfa29dd6.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![Screenshot 2024-05-21 at 10.31.17.png](attachment:a8ec9628-7bf1-4b52-b5ca-3a23bfa29dd6.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is called a **fixed hardware ansatz**: the configuration of quantum gates remains the same for each run of the circuit, all that changes are the parameters. Unlike the QAOA ansatz, it is not composed solely of Trotterized Hamiltonians. The applications of $Ry$ gates allow us to search the state space, while the $CZ$ gates create \"interference\" between the different qubit states."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "### Running the VQLS\n",
    "\n",
    "Now, we can define the main function: we call `block_encoding_vqls` with the arguments of our specific example."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "@qfunc\n",
    "def main(\n",
    "    params: CArray[CReal, ansatz_param_count],\n",
    "    ancillary_qubits: Output[QNum],\n",
    "    system_qubits: Output[QArray[QBit]],\n",
    "):\n",
    "\n",
    "    allocate(num_ancila_qubits, ancillary_qubits)\n",
    "    allocate(num_system_qubits, system_qubits)\n",
    "\n",
    "    block_encoding_vqls(\n",
    "        ansatz=lambda: apply_fixed_3_qubit_system_ansatz(params, system_qubits),\n",
    "        block_encoding=lambda: within_apply(\n",
    "            compute=lambda: prepare_c(ancillary_qubits),\n",
    "            action=lambda: prepare_ca(\n",
    "                pauli_terms_structs, system_qubits, ancillary_qubits\n",
    "            ),\n",
    "        ),\n",
    "        prepare_b_state=lambda: apply_to_all(H, system_qubits),\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Constructing the model, synthesizing and executing on \"aer_simulator\": "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Opening: http://localhost:4200/circuit/55f1d54a-af31-4188-9cde-100356254b69?version=0.0.0\n"
     ]
    }
   ],
   "source": [
    "from classiq.execution import ClassiqBackendPreferences, ExecutionPreferences\n",
    "from classiq.synthesis import set_execution_preferences\n",
    "\n",
    "backend_preferences = ClassiqBackendPreferences(\n",
    "    backend_name=\"aer_simulator_statevector\"\n",
    ")\n",
    "model = create_model(main)\n",
    "\n",
    "model = set_execution_preferences(\n",
    "    model,\n",
    "    execution_preferences=ExecutionPreferences(\n",
    "        num_shots=204800, backend_preferences=backend_preferences\n",
    "    ),\n",
    ")\n",
    "qprog = synthesize(model)\n",
    "show(qprog)"
   ]
  },
  {
   "attachments": {
    "462bbae5-5d4b-4625-9b2b-3d90808d62fe.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![Screenshot 2024-05-19 at 18.59.56.png](attachment:462bbae5-5d4b-4625-9b2b-3d90808d62fe.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from classiq import write_qmod\n",
    "\n",
    "write_qmod(model, name=\"vqls_with_lcu\", decimal_precision=15)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We run the classical optimizer to get the optimal parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " message: Optimization terminated successfully.\n",
      " success: True\n",
      "  status: 1\n",
      "     fun: 0.04695328915467911\n",
      "       x: [ 1.551e+00  3.548e+00  6.909e-02  2.312e+00  2.847e+00\n",
      "            2.068e-01  5.308e-01  3.058e+00  2.393e+00]\n",
      "    nfev: 133\n",
      "   maxcv: 0.0\n",
      "[array([1.55052721, 3.54836318, 0.06909253, 2.31155074, 2.84746957,\n",
      "       0.20677218, 0.53078998, 3.05809253, 2.39306454])]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "optimizer = VqlsOptimizer(\n",
    "    qprog, ansatz_param_count, \"system_qubits\", \"ancillary_qubits\"\n",
    ")\n",
    "optimal_params = optimizer.optimize()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Measuring the Quantum Solution\n",
    "\n",
    "Finally, we can apply the optimal params to measure the quantum results for $\\vec{x}$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "@qfunc\n",
    "def main(io: Output[QArray[QBit]]):\n",
    "    allocate(num_system_qubits, io)\n",
    "    apply_fixed_3_qubit_system_ansatz(list(optimal_params.values()), io)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from classiq.execution import ClassiqBackendPreferences, ExecutionPreferences\n",
    "from classiq.synthesis import set_execution_preferences\n",
    "\n",
    "backend_preferences = ClassiqBackendPreferences(\n",
    "    backend_name=\"aer_simulator_statevector\"\n",
    ")\n",
    "qmod = create_model(main)\n",
    "\n",
    "qmod = set_execution_preferences(\n",
    "    qmod,\n",
    "    execution_preferences=ExecutionPreferences(\n",
    "        num_shots=20480, backend_preferences=backend_preferences\n",
    "    ),\n",
    ")\n",
    "\n",
    "\n",
    "qprog = synthesize(qmod)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "job = execute(qprog)\n",
    "results = job.result()[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "state_vector = results.value.state_vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0.007415323009582212,\n",
       " 0.0035696587414921067,\n",
       " 0.03050336657455593,\n",
       " 0.04084846295534332,\n",
       " 0.029866269402452978,\n",
       " 0.03910235776542425,\n",
       " 0.5313757982585148,\n",
       " 0.31731876329263436]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "probabilities = []\n",
    "for key, val in state_vector.items():\n",
    "    probabilities.append(abs(complex(val)) ** 2)\n",
    "\n",
    "\n",
    "probabilities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0.08611226979694712,\n",
       " 0.059746621172181,\n",
       " 0.17465213017468734,\n",
       " 0.20211002685503587,\n",
       " 0.17281860259373982,\n",
       " 0.19774316110911205,\n",
       " 0.7289552786409567,\n",
       " 0.5633105389504393]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "amplitudes = []\n",
    "for key, val in state_vector.items():\n",
    "    amplitudes.append(abs(complex(val)))\n",
    "\n",
    "\n",
    "amplitudes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparison to the classical solution\n",
    "\n",
    "Since the specific problem considered in this tutorial has a small size,\n",
    "we can also solve it in a classical way and then compare the results\n",
    "with our quantum solution."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To solve the problem in a classical way, we use the explicit matrix\n",
    "representation in terms of numerical NumPy arrays."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Classical calculation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "Id = np.identity(2)\n",
    "Z = np.array([[1, 0], [0, -1]])\n",
    "X = np.array([[0, 1], [1, 0]])\n",
    "\n",
    "\n",
    "A_0 = np.identity(8)\n",
    "A_1 = np.kron(np.kron(Id, Z), Id)\n",
    "A_2 = np.kron(np.kron(Z, Id), Id)\n",
    "\n",
    "\n",
    "A_num = c[0] * A_0 + c[1] * A_1 + c[2] * A_2\n",
    "b = np.ones(8) / np.sqrt(8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculating the classical $\\vec{x}$ that solves the equation :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.00464634, 0.00464634, 0.0153598 , 0.0153598 , 0.0153598 ,\n",
       "       0.0153598 , 0.46463405, 0.46463405])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A_inv = np.linalg.inv(A_num)\n",
    "x = np.dot(A_inv, b)\n",
    "classical_probs = (x / np.linalg.norm(x)) ** 2\n",
    "classical_probs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To compare the classical to the quantum results we will compute some post-processing. In order to do this, we will apply $A$ to our optimal vector $|\\psi\\rangle_o$, normalize it, then calculate the inner product squared of this vector and the solution vector, $|b\\rangle$! We can put this all into code as:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "overlap = 0.9503402318177073\n"
     ]
    }
   ],
   "source": [
    "print(\n",
    "    \"overlap =\",\n",
    "    (b.dot(A_num.dot(amplitudes) / (np.linalg.norm(A_num.dot(amplitudes))))) ** 2,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(7, 4))\n",
    "\n",
    "ax1.bar(np.arange(0, 2**num_system_qubits), classical_probs, color=\"blue\")\n",
    "ax1.set_xlim(-0.5, 2**num_system_qubits - 0.5)\n",
    "ax1.set_xlabel(\"Vector space basis\")\n",
    "ax1.set_title(\"Classical probabilities\")\n",
    "\n",
    "ax2.bar(np.arange(0, 2**num_system_qubits), probabilities, color=\"gold\")\n",
    "ax2.set_xlim(-0.5, 2**num_system_qubits - 0.5)\n",
    "ax2.set_xlabel(\"Hilbert space basis\")\n",
    "ax2.set_title(\"Quantum probabilities\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The classical cost function basically agrees with the algorithm result."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "## References\n",
    "\n",
    "<a name='VQLS'>[1]</a>: [Bravo-Prieto et al.,Variational Quantum Linear Solver. (2020)](https://arxiv.org/pdf/1909.05820.pdf)\n",
    "\n",
    "\n",
    "<a name='coherent'>[2]</a>: Robin Kothari. \\\"Efficient algorithms in quantum query complexity.\\\"\n",
    "    PhD thesis, University of Waterloo, 2014.\n",
    "\n"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "dev_py3.11",
   "language": "python",
   "name": "dev_py3.11"
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   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.4"
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  "vscode": {
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 },
 "nbformat": 4,
 "nbformat_minor": 4
}
